Finite-temperature Field Theory - Theoretical Physics (TIFR)
Finite-temperature Field Theory - Theoretical Physics (TIFR)
Finite-temperature Field Theory - Theoretical Physics (TIFR)
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Basics of Statistical <strong>Physics</strong> and Thermodynamics<br />
Scalar fields at finite <strong>temperature</strong><br />
Interacting scalar fields<br />
Partition function for scalar field theory<br />
Non-interacting examples<br />
Massive scalar fields<br />
◮ Specialize now to V (ϕ) = 1 2 m2 ϕ 2<br />
◮<br />
One free bosonic dof<br />
◮ Following rules of Gaussian integration<br />
{<br />
}<br />
(<br />
) −1/2<br />
ln Z = ln N det (−∂τ 2 − ∂i 2 + m 2 )<br />
= − 1 2 Tr ln (−∂2 τ − ∂i 2 + m 2 ) + const.<br />
◮ How to take a trace of an operator containing derivatives?<br />
◮<br />
Go to momentum space!<br />
logo<br />
Aleksi Vuorinen, CERN<br />
<strong>Finite</strong>-<strong>temperature</strong> <strong>Field</strong> <strong>Theory</strong>
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